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Finding the Fourth Proportional to 32,857.80, 49,259.70 and 14,152.20

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Solution

The fourth proportional to 32,857.80, 49,259.70 and 14,152.20 is: 21,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.80 : 49,259.70 = 14,152.20 : x
  2. Step 2: Convert to fraction form
    32,857.80/49,259.70 = 14,152.20/x
  3. Step 3: Cross multiply
    32,857.80x = 49,259.70 × 14,152.20
  4. Step 4: Simplify right side
    32,857.80x = 697,133,126.34
  5. Step 5: Solve for x
    x = 697,133,126.34/32,857.80
  6. Step 6: Final answer
    x = 21,216.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.